The generator matrix

 1  0  0  1  1  1  6  1  1  6  1
 0  1  0  1  6  7  1  1  0  1  0
 0  0  1  1  3  2  3  7  6  3  0
 0  0  0  8  0  0  0  8  8  8  0
 0  0  0  0  8  8  8  8  0  0  8

generates a code of length 11 over Z16 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+36x^7+354x^8+1088x^9+2984x^10+7480x^11+2960x^12+1088x^13+344x^14+36x^15+13x^16

The gray image is a code over GF(2) with n=88, k=14 and d=28.
This code was found by Heurico 1.16 in 0.135 seconds.